JEE Main & Advanced Chemistry States of Matter / पदार्थ की अवस्थाएँ - गैस एवं द्रव Question Bank Mock Test - States of Matter

  • question_answer
    The rms speed of \[{{N}_{2}}\] molecules in a gas is \[u\]. If the temperature is doubled and the nitrogen molecules dissociate into nitrogen atoms, the rms speed becomes

    A) \[u/2\]  

    B) \[2u\]

    C) \[4u\]               

    D) \[14u\]

    Correct Answer: B

    Solution :

    [b] \[\frac{{{u}_{1}}}{{{u}_{2}}}=\sqrt{\frac{{{n}_{1}}{{T}_{1}}}{{{n}_{2}}{{T}_{2}}}}=\sqrt{\frac{n\times T}{2n\times 2T}}=\sqrt{\frac{1}{4}}=\frac{1}{2}\] \[{{u}_{2}}=2{{u}_{1}}=2u\]


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